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anzhelika [568]
3 years ago
11

The best player on a basketball team makes 80​% of all free throws. The​ second-best player makes 75​% of all free throws. The​

third-best player makes 70​% of all free throws. Based on their experimental​ probabilities, estimate the number of free throws each player will make in his or her next 60 attempts.
Mathematics
1 answer:
Artist 52 [7]3 years ago
8 0

Answer:

Expected number of free throws in 60 attempts:

        Best player = 48

        2nd best player = 45

        3rd best player = 42

Step-by-step explanation:

Solution:-

- The probability that best player makes free throw, p1 = 0.8

- The probability that second-best player makes free throw, p2 = 0.75

- The probability that third-best player makes free throw, p3 = 0.70

- Total number of attempts made in free throws, n = 60.

- The estimated number of free throws that any player makes is defined by:

                      E ( Xi ) = n*pi

Where,           Xi = Player rank

                      pi = Player rank probability

- Expected value for best player making the free throws would be:

                    E (X1) = n*p1

                              = 60*0.8

                              = 48 free throws

- Expected value for second-best player making the free throws would be:

                    E (X2) = n*p2

                              = 60*0.75

                              = 45 free throws

- Expected value for third-best player making the free throws would be:

                    E (X3) = n*p3

                              = 60*0.70

                              = 42 free throws

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Kipish [7]

Answer:

32.8 miles

Step-by-step explanation:

Amy is driving to Seattle. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.95. See the figure below. Amy has 48 miles remaining after 31 minutes of driving. How many miles will be remaining after 47 minutes of driving?

Answer: The general equation of a line is given as y = mx + c, where m is the slope of the line and c is the intercept on the y axis. Given that the slope is -0.95, substituting in the general equation :

y = -0.95x + c

Amy has 48 miles remaining after 31 minutes of driving, to find c, we substitute y = 48 and x = 31. Therefore:

48 = -0.95(31) + c

c = 48 + 0.95(31)

c = 48 + 29.45

c = 77.45

The equation of the line is

y = -0.95x + 77.45

After 47 minutes of driving, the miles remaining can be gotten by substituting x = 47 and finding y.

y = -0.95(47) + 77.45

y = -44.65 + 77.45

y = 32.8 miles

3 0
3 years ago
A jacket costs $90 at full price. It is on sale for 30% off the regular price. What is the amount of the discount?
Sav [38]
Remember that when you find 30% of the number you have to subtract the 30% from your original $90 because it is 30% off the original price.

5 0
3 years ago
Chester Boles reviewed his credit card's monthly statement. It shows a $2,376.10 previous balance and this month's new purchases
ss7ja [257]

Initial balance, I = $2376.10 .

Total amount of purchase made, A = $( 875.22+65.75+45.22+21.23 ) = $1007.42 .

Total amount credit, c = $875.22 .

Fine, f = $45.30 .

Another purchase, a=\dfrac{2376.10\times 2.5}{100}=\$ 59.4025 .

So, balance left is :

B = I - A - f - a + c

B = 2376.10 - 1007.42 - 45.30 - 59.4025 + 875.22

B = $2139.1975

Hence, this is the required solution.

4 0
3 years ago
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vampirchik [111]

Answer:

true

Step-by-step explanation:

the line is going down. if it was positive then it would be going from left all to right going up.

7 0
2 years ago
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I need help on 6 please! I’m pretty sure it’s 9, correct me if I’m wrong
Finger [1]

Answer:60


Step-by-step explanation:

3 ways to pick the meat,

4 ways to pick the eggs,

5 ways to pick the cereal.

For each of the 3 meats you can pick any of the 4 egg dishes, so 12 ways to pick a meat and an egg dish.

For each of those 12 you can pick any of the 5 cereals, so 60 ways to pick the meal.

6 0
3 years ago
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